Directions: Write expressions to represent the quantities described below. a. Georgia is 4 years younger than Tristan. If Tristan is t years old, how old is Georgia? Also, if Steven is twice as old as Georgia, how old is he? b. 150 people went to see "Ode to Algebra" performed in at DCP school auditorium. If the number of children that attended the performance was c, how many adults attended? c. The cost of a new CD is $14.95, and the cost of video game is $39.99. How much would c CDs and v video games cost? d. A hotdog, (h) cost $3 and a corndog, (c) cost $2.75. If $250 was collected, write a mathematical sentence to represent this information. Part a: Part b: Part c: Part d:

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

9x

there still no table